CAIE S1 2014 June — Question 7

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2014
SessionJune
TopicData representation
TypeDraw histogram then perform calculations

7 A typing test is taken by 111 people. The numbers of typing errors they make in the test are summarised in the table below.
Number of typing errors\(1 - 5\)\(6 - 20\)\(21 - 35\)\(36 - 60\)\(61 - 80\)
Frequency249211542
  1. Draw a histogram on graph paper to represent this information.
  2. Calculate an estimate of the mean number of typing errors for these 111 people.
  3. State which class contains the lower quartile and which class contains the upper quartile. Hence find the least possible value of the interquartile range.